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Finding the Fourth Proportional to 50,131, 74,988.76 and 38,194.50

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Solution

The fourth proportional to 50,131, 74,988.76 and 38,194.50 is: 57,133.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,131 : 74,988.76 = 38,194.50 : x
  2. Step 2: Convert to fraction form
    50,131/74,988.76 = 38,194.50/x
  3. Step 3: Cross multiply
    50,131x = 74,988.76 × 38,194.50
  4. Step 4: Simplify right side
    50,131x = 2,864,158,193.82
  5. Step 5: Solve for x
    x = 2,864,158,193.82/50,131
  6. Step 6: Final answer
    x = 57,133.47

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.